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Finding the Third Proportional to 1,110,822 and 2,300,412

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Solution

The third proportional to 1,110,822 and 2,300,412 is: 4,763,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110,822 : 2,300,412 = 2,300,412 : x
  2. Step 2: Convert to fraction form
    1,110,822/2,300,412 = 2,300,412/x
  3. Step 3: Cross multiply
    1,110,822x = 2,300,412 × 2,300,412
  4. Step 4: Simplify right side
    1,110,822x = 5,291,895,369,744
  5. Step 5: Solve for x
    x = 5,291,895,369,744/1,110,822
  6. Step 6: Final answer
    x = 4,763,945.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.